10118400 has 216 divisors, whose sum is σ = 36497664. Its totient is φ = 2457600.

The previous prime is 10118387. The next prime is 10118401. The reversal of 10118400 is 481101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10118400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326385 + ... + 326415.

Almost surely, 2^10118400 is an apocalyptic number.

10118400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

10118400 is an abundant number, since it is smaller than the sum of its proper divisors (26379264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10118400 is a wasteful number, since it uses less digits than its factorization.

10118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10118400 is about 3180.9432563314. The cubic root of 10118400 is about 216.2904186760.

Adding to 10118400 its reverse (481101), we get a palindrome (10599501).

The spelling of 10118400 in words is "ten million, one hundred eighteen thousand, four hundred".